Answer:
The number is 0.000358 lbs.
Step-by-step explanation:
Scientists found that the body of a male consists of 
lbs of zinc.
This is a scientific way of writing a number.
For, example 0.0023, a number in normal or standard notation can be scientifically written as 
.
So, in our case, the number is lbs and we have to write this number in standard notation.
Then the number is 0.000358 lbs. (Answer)
Answer:
a=245 s=315
Step: Solve a+s=560 for a:
a+s=560
a+s=560(Add -s to both sides)
a=−s+560
Step: Substitute −s+560 for a in 8a+3s=2905:
8a+3s=2905
8(−s+560)+3s=2905
−5s+4480=2905(Simplify both sides of the equation)
−5s+4480=2905(Add -4480 to both sides)
−5s=−1575
−5s=−1575(Divide both sides by -5)
s=315
Step: Substitute 315 for s in a=−s+560:
a=−s+560
a=−315+560
a=245
Answer: -5x+-10 using the distributive property
Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
